In this article, we construct a commutative unital Banach algebra, in which the property ‖a2‖=‖a‖2 is true for the invertible elements, but cannot be extended to the whole algebra. © 2018 Académie des sciences

Sukumar Daniel

Department of Mathematics

G. Sebastian

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Comptes Rendus Mathematique

A characterizing property of commutative Banach algebras may not be sufficient only on the invertible elements [Une propriété caractérisant des algèbres de Banach commutatives qui ne peut être formulée sur les seuls éléments inversibles]

Journal	Data powered by TypesetComptes Rendus Mathematique
Publisher	Data powered by TypesetElsevier Masson SAS
ISSN	1631073X